THE YANG BAXTER EQUATION AND RELATED ALGEBRAIC STRUCTURE

Employer
Università del Salento - INFN
Location
Italy
Posted
September 21 2017
Position Type
Full Time
Organization Type
Academia

The principal aim of the project is the construction and the study of set-theoretical solutions of the Yang-Baxter equation. Currently it is really incisive in this context the research of linkage between solutions and some algebraic structures, e.g., I-type monoids (Tate and Van den Bergh, 1996), braces (Rump, 2005), skew braces (Guarnieri e Vendramin, 2017).

Mainly, we will analyse the linkage between the solutions and the semi-braces, a recent structure introduced by Catino, Colazzo and Stefanelli (2017), by the study of algebraic aspects to construct new set-theoretical solutions of the Yang-Baxter equation.

Further, we will analyse the linkage between the solutions and the Hopf-Galois extensions that play a key role in the study of Quantum Groups and actually are object of many research works.



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